Modeling and optimal control of monkeypox with cost-effective strategies

dc.contributor.authorOlumuyiwa James Peter
dc.contributor.authorChinwendu E. Madubueze
dc.contributor.authorMayowa M. Ojo
dc.contributor.authorFestus Abiodun Oguntolu
dc.contributor.authorTawakalt Abosede Ayoola
dc.date.accessioned2025-05-21T12:47:26Z
dc.date.issued2022-11-22
dc.description.abstractIn this work, we develop and analyze a deterministic mathematical model to investigate the dynamics of monkeypox. We examine the local and global stability of the basic model without control variables. The outcome demonstrates that when the reproduction number , the model’s disease-free equilibrium would be locally and globally asymptotically stable. We further analyze the effective control of monkeypox in a given population by formulating and analyzing an optimal control problem. We extend the basic model to include four control variables, namely preventive strategies for transmission from rodents to humans, prevention of infection from human to human, isolation of infected individuals, and treatment of isolated individuals. We established the necessary conditions for the existence of optimal control using Pontryagin’s maximal principle. To illustrate the impact of different control combinations on the spread of monkeypox, we use the fourth-order Runge–Kutta forward–backward sweep approach to simulate the optimality system. A cost-effectiveness study is conducted to educate the public about the most cost-effective method among various control combinations. The results suggest that, of all the combinations considered in this study, implementing preventive strategies for transmission from rodents to humans is the most economical and effective among all competing strategies.
dc.identifier.citationO. J. Peter, C. E. Madubueze, M. M. Ojo, F. A. Oguntolu, & T. A. Ayoola. (2022). Modeling and optimal control of monkeypox with cost-effective strategies. Modeling Earth Systems and Environment, 1-19. https://doi.org/10.1007/s40808-022-01607-z
dc.identifier.doi10.1007/s40808-022-01607-z
dc.identifier.issn2363-6203
dc.identifier.issn2363-6211
dc.identifier.urihttp://repository.futminna.edu.ng:4000/handle/123456789/2028
dc.language.isoen
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofModeling Earth Systems and Environment
dc.subjectMonkeypox
dc.subjectOptimal control
dc.subjectCost-effectiveness
dc.subjectPreventive strategies
dc.subjectIsolation
dc.titleModeling and optimal control of monkeypox with cost-effective strategies
dc.typejournal-article
oaire.citation.issue2
oaire.citation.volume9

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